Greatest Common Factor of 473/17, 946/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 473/17, 946/223

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 473/17,946/223

Given fractions are 473/17,946/223

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 473,946

Greatest Common Factor of Numerators i.e. GCF of 473,946 is 473 .

LCM of Denominators means LCM of 17,223 as per the given fractions.

LCM of 17,223 is 3791 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 473,946

GCF of Fractions 473/17,946/223 is 473/3791

11 473, 946
43 43, 86
1, 2

∴ So the GCF of the given numbers is 11 x 43 = 473

Greatest Common Factor of 473,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,946 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 473,946 . The biggest common factor number is the GCF number.
So the greatest common factor 473,946 is 473.

Lets's calculate LCM of 17,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 3791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 473/3791

Therefore, the GCF of Fractions 473/17,946/223 is 473/3791

Least Common Multiple of 17,223 with GCF Formula

Least Common Multiple of 17,223 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 17,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,223) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,223) x common factors =1 x 1 = 1

LCM(17,223) = ( 17 × 223 ) / 1

LCM(17,223) = 3791 / 1

LCM(17,223) = 3791


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 473/17, 946/223

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 473/17, 946/223?

Answer: GCF of Numerators as per given numbers 473/17, 946/223 is

GCF of Numerators i.e. for 473,946 is 473

LCM of denominators i.e. for 17,223 is 3791.

Thus, GCF of Fractions is 473/3791.Finally, GCF of Fractions for 473/17, 946/223 is 473/3791.